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Finding the Third Proportional to 131,194 and 281,500

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Solution

The third proportional to 131,194 and 281,500 is: 604,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,194 : 281,500 = 281,500 : x
  2. Step 2: Convert to fraction form
    131,194/281,500 = 281,500/x
  3. Step 3: Cross multiply
    131,194x = 281,500 × 281,500
  4. Step 4: Simplify right side
    131,194x = 79,242,250,000
  5. Step 5: Solve for x
    x = 79,242,250,000/131,194
  6. Step 6: Final answer
    x = 604,008.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.